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What is the Least Common Multiple of 4302 and 4314?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 4302 and 4314 is 3093138.

LCM(4302,4314) = 3093138

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Least Common Multiple of 4302 and 4314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4302 and 4314, than apply into the LCM equation.

GCF(4302,4314) = 6
LCM(4302,4314) = ( 4302 × 4314) / 6
LCM(4302,4314) = 18558828 / 6
LCM(4302,4314) = 3093138

Least Common Multiple (LCM) of 4302 and 4314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4302 and 4314. First we will calculate the prime factors of 4302 and 4314.

Prime Factorization of 4302

Prime factors of 4302 are 2, 3, 239. Prime factorization of 4302 in exponential form is:

4302 = 21 × 32 × 2391

Prime Factorization of 4314

Prime factors of 4314 are 2, 3, 719. Prime factorization of 4314 in exponential form is:

4314 = 21 × 31 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 4302 and 4314.

LCM(4302,4314) = 21 × 32 × 2391 × 7191
LCM(4302,4314) = 3093138